3x(x+2)=5x

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Solution for 3x(x+2)=5x equation: 


Simplifying
3x(x + 2) = 5x

Reorder the terms:
3x(2 + x) = 5x
(2 * 3x + x * 3x) = 5x
(6x + 3x2) = 5x

Solving
6x + 3x2 = 5x

Solving for variable 'x'.

Reorder the terms:
6x + -5x + 3x2 = 5x + -5x

Combine like terms: 6x + -5x = 1x
1x + 3x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
1x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 3x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {0, -0.3333333333}

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